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This research aims to explore the nonlinear dynamics and stability of energy supply-demand systems affected by government regulation and time delay.

Analytical and symbolic characterization of nonlinear dynamics for a class of energy supply demand system versus time delay

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This research aims to explore the nonlinear dynamics and stability of energy supply-demand systems affected by government regulation and time delay.
A mathematical model of a three-dimensional energy supply-demand system is established.
The stability boundary related to government regulation is analyzed using a novel decomposition strategy.
Numerical simulations and symbolic computation validate the theoretical model, capturing the relationship between system parameters and dynamics.
Identified the stability boundary of government regulation under time delay conditions.
Revealed conditions for bifurcation and transitions from steady states to periodic oscillations.
Demonstrated a more efficient analytical framework, reducing complex calculations using matrix algebra.

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Randomized trial investigates nonlinear dynamics and stability in energy supply-demand systems, highlighting implications for regulation.

A 2026 study studied this question.

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